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Finding the Third Proportional to 104.75 and 219.06

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Solution

The third proportional to 104.75 and 219.06 is: 458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.75 : 219.06 = 219.06 : x
  2. Step 2: Convert to fraction form
    104.75/219.06 = 219.06/x
  3. Step 3: Cross multiply
    104.75x = 219.06 × 219.06
  4. Step 4: Simplify right side
    104.75x = 47,988.38
  5. Step 5: Solve for x
    x = 47,988.38/104.75
  6. Step 6: Final answer
    x = 458.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.